SOLUTION: Mr. and Mrs. Doran have a genetic history such that the probability that a child being born to them with a certain trait is 4/5. If they have seven children, what is the probabilit

Question 1205585: Mr. and Mrs. Doran have a genetic history such that the probability that a child being born to them with a certain trait is 4/5. If they have seven children, what is the probability that exactly one of their seven children will have that trait? Round your answer to the nearest thousandth.

Answer by ikleyn(52905) (Show Source): You can put this solution on YOUR website!
Mr. and Mrs. Doran have a genetic history such that the probability that a child being born
to them with a certain trait is 4/5. If they have seven children, what is the probability
that exactly one of their seven children will have that trait?
Round your answer to the nearest thousandth.
~~~~~~~~~~~~~~~~~~~~

It is a binomial distribution problem with n = 7 trials, probability p = 4/5 of a "success"
at each individual trial and k= exactly one success.


Use the standard formula for the probability of such event

    P =  =  = 0.000358   (rounded).   ANSWER


You may round further as you need.

Solved.

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To see many other similar (and different) solved problems, look into the lessons
- Simple and simplest probability problems on Binomial distribution
- Typical binomial distribution probability problems
in this site.

Learn the entire subject from there.

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